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Theory of Technical Change and Economic Invariance

Editor

Listed:
  • Shell, Karl

Author

Listed:
  • Sato, Ryuzo

Abstract

Theory of Technical Change and Economic Invariance: Application of Lie Groups presents the economic invariance problems observable behavior under general transformations such as taste change or technical change. This book covers a variety of topics in economic theory, ranging from the analysis of production functions to the general recoverability problem of optimal dynamic behavior. Organized into nine chapters, this book begins with an overview of the theory of observable behavior by analyzing the invariant relationships among economic variables. This text then examines the Lie group theory which provides one of the most efficient methods of studying invariance properties. Other chapters consider the analysis of exogenous technical change, a process partly due to dynamic market forces of supply and demand. This book discusses as well the topics closely related to parametric changes under Lie groups and related transformations. The final chapter deals with mathematical foundations of the theory of observable market behavior. This book is a valuable resource for economists.

Suggested Citation

  • Sato, Ryuzo, 1981. "Theory of Technical Change and Economic Invariance," Elsevier Monographs, Elsevier, edition 1, number 9780126194609 edited by Shell, Karl.
    • Handle: RePEc:eee:monogr:9780126194609
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    Cited by:

    1. Yashiv, Eran & Perets, Gadi, 2018. "Lie Symmetries and Essential Restrictions in Economic Optimization," CEPR Discussion Papers 12611, C.E.P.R. Discussion Papers.
    2. Roman G. Smirnov & Kunpeng Wang, 2019. "The Hamiltonian approach to the problem of derivation of production functions in economic growth theory," Papers 1906.11224, arXiv.org.
    3. Perets, Gadi S. & Yashiv, Eran, 2015. "The fundamental nature of HARA utility," LSE Research Online Documents on Economics 86287, London School of Economics and Political Science, LSE Library.
    4. Roman G. Smirnov & Kunpeng Wang, 2019. "The Cobb-Douglas production function revisited," Papers 1910.06739, arXiv.org, revised Oct 2019.
    5. Roman G. Smirnov & Kunpeng Wang, 2017. "In search of a new economic model determined by logistic growth," Papers 1711.02625, arXiv.org, revised Oct 2018.

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